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3 years ago

The solution to 2x - 5 = 27 is also a solution of which of the following equations?

Mathematics

1 answer:

max2010maxim [7]3 years ago

8 0

The equation could also be written as 2x=32. the answer would always be 16 too

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Write each percent as a fraction and as a mixed number or fraction 325% 480% 0.6%

ExtremeBDS [4]

325%=3.25 which is $\frac{325}{100}$ or $3\frac{25}{100}$ which can be reduced to $3\frac{1}{4}$

480%=4.80 which is $\frac{480}{100}$ or $4\frac{80}{100}$ which can be reduced to $4\frac{4}{5}$

0.6%=0.006 which is $\frac{3}{500}$

I hope this helps.

3 0

3 years ago

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and

lana [24]

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$P(-2, 5) = (x_1, y_1)$ (the coordinate of P is gotten from the graph)

$S(9, 5) = (x_2, y_2)$ (given)

$PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}$

$PS = \sqrt{(11)^2 + (0)^2}$

$PS = \sqrt{121} = 11 units$

3 0

4 years ago

Prior to a special advertising campaign, 23% of all adults recognized a particular companyâs logo. At the close of the campaign

pochemuha

Answer:

The answer is "2.4049"

Step-by-step explanation:

Calculating the test of Hypothesis: $H_{0}: 23\% \ \text{off all adults which reconize the compony's logo}\\\\H_{1}: \text{more than 23\% of adult recornise the compony's logo}\\\\$

that is

$H_{0}: p=0.23\ against \ H_{1}:p>0.01\\\\Z=\frac{P-p}{\sqrt{\frac{p(1-p)}{n}}}\sim N(0,1)\\\\$

Given:

$p= 0.23\\\\ \therefore \\\\1-p=0.77\\\\n=1200\\\\ P=\frac{311}{1200}=0.2591\\\\\therefore\\\\Z= \frac{0.2591-0.23}{\sqrt{((0.23)\times \frac{(1-0.23))}{1200}}}=2.4049$

Z=2.576 tabled value. Because Z is 2.4049, that's less than Z stated, there is no indication that a null hypothesis is rejectable, which means that 23% of all adults record the logo of the Company.

8 0

3 years ago

A ceramist uses (v²+ v) pints of glaze for v porcelain vases. What is the maximum number of vases

zmey [24]

By factoring the quadratic equation, 4 porcelain vases can be glazed with 20 pints of glaze. (Correct choice: B)

<h3>How much vases can be glazed with a certain amount of pints of glass?</h3>

Herein we have a quadratic equation that models the quantity of pints as a function of the number of vases, we need to solve the quadratic equation for v to find the required quantity. The complete procedure is shown below:

v² + v = 20 Given

v² + v - 20 = 0 Compatibility with addition / Existence of the additive inverse / Modulative property

(v + 5) · (v - 4) = 0 x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)

The result must be a positive number and, thus, the maximum number of vases must be equal to 4. By factoring the quadratic equation, 4 porcelain vases can be glazed with 20 pints of glaze. (Correct choice: B)

To learn more on quadratic equation: brainly.com/question/1863222

#SPJ1

7 0

2 years ago

Express r=2cos(theta)+2sin(theta) as a cartesian function.

Savatey [412]

The function is in polar coordinates.

When this is the case, to pass to rectagular (cartesian) coordinates you use:

x = r cos(theta)
y = r sin(theta)

Then,

x = [2cos(theta) + 2sin(theta)]cos(theta) =

= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)

y = [2cos(theta) + 2sin(theta)]sin(theta) =

= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2

3 0

3 years ago